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**Five-Minute Check (over Lesson 12–3)**NGSSS Then/Now Key Concept : Volume of a Prism Example 1: Volume of a Prism Key Concept: Volume of a Cylinder Example 2: Volume of a Cylinder Key Concept: Cavalieri’s Principle Example 3: Volume of an Oblique Solid Example 4: Standardized Test Example Lesson Menu**A**B C D Find the surface area of the regular pyramid. A. 600 in2 B. 623.2 in2 C. 635.3 in2 D. 647.4 in2 5-Minute Check 1**A**B C D Find the surface area of the cone. A. 628.3 ft2 B. 642.3 ft2 C. 677.8 ft2 D. 753.9 ft2 5-Minute Check 2**A**B C D Find the surface area of the regular pyramid. A. 420 ft2 B. 480 ft2 C. 679.8 ft2 D. 710 ft2 5-Minute Check 3**A**B C D Find the surface area of the cone. A. 214.2 m2 B. 221.0 m2 C. 233.4 m2 D. 247.5 m2 5-Minute Check 4**A**B C D Find the surface area of a square pyramid with base length of 10 feet and slant height of 8 feet. A. 80 ft2 B. 200 ft2 C. 240 ft2 D. 260 ft2 5-Minute Check 5**A**B C D Find the lateral area of a cone with a diameter length of 10 centimeters and a slant height of 13 centimeters. Round your answer to the nearest tenth. A. 204.1 cm2 B. 282.7 cm2 C. 408.4 cm2 D. 722.6 cm2 5-Minute Check 6**MA.912.G.7.5Explain and use formulas for lateral area,**surface area, and volume of solids. MA.912.G.7.7 Determine how changes in dimensions affect the surface area and volume of common geometric solids. NGSSS**You found surface areas of prisms and cylinders. (Lesson**12–2) • Find volumes of prisms. • Find volumes of cylinders. Then/Now**VBh Volume of a prism**1500 Simplify. Volume of a Prism Find the volume of the prism. Answer: The volume of the prism is 1500 cubic centimeters. Example 1**A**B C D Find the volume of the prism. A. 6480 in3 B. 8100 in3 C. 3240 in3 D. 4050 in3 Example 1**= (1.8)2(1.8) r = 1.8 and h = 1.8**Volume of a Cylinder Find the volume of the cylinder to the nearest tenth. Volume of a cylinder ≈18.3 Use a calculator. Answer: The volume is approximately 18.3 cm3. Example 2**A**B C D Find the volume of the cylinder to the nearest tenth. A. 62.8 cm3 B. 628.3 cm3 C. 125.7 cm3 D. 1005.3 cm3 Example 2**r 15, h 25**Use a calculator. Volume of an Oblique Solid Find the volume of the oblique cylinder to the nearest tenth. To find the volume, use the formula for a right cylinder. Volume of a cylinder Answer: The volume is approximately 17,671.5 cubic feet. Example 3**A**B C D Find the volume of the oblique cylinder to the nearest tenth. A. 1520.5 cm3 B. 16,725.8 cm3 C. 5324 cm3 D. 8362.9 cm3 Example 3**Prisms A and B have the same width and height, but different**lengths. If the volume of Prism B is 128 cubic inches greater than the volume of Prism A,what is the length of each prism? Prism A Prism B A 12 B 8 C 4 D 3.5 Example 4**Read the Test Item**You know the volume of each solid and that the difference between their volumes is 128 cubic inches. Solve the Test Item Volume of Prism B – Volume of Prism A = 128 Write an equation. 4x● 9 – 4x● 5 = 128 Use V = Bh. 16x = 128 Simplify. x = 8 Divide each side by 16. Answer: The length of each prism is 8 inches. The correct answer is B. Example 4**A**B C D Prisms A and B have the same width and height, but different lengths. If the volume of Prism B is 192 cubic inches greater than the volume of Prism A,what is the length of each prism? A. 4 in. B. 6 in. C. 8 in. D. 10.5 in. Prism A Prism B Example 4